82899757248 has 224 divisors, whose sum is σ = 276760350720. Its totient is φ = 21272663040.

The previous prime is 82899757247. The next prime is 82899757267. The reversal of 82899757248 is 84275799828.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (82899757243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193293 + ... + 1260851.

It is an arithmetic number, because the mean of its divisors is an integer number (1235537280).

Almost surely, 2^82899757248 is an apocalyptic number.

82899757248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82899757248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138380175360).

82899757248 is an abundant number, since it is smaller than the sum of its proper divisors (193860593472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82899757248 is a wasteful number, since it uses less digits than its factorization.

82899757248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67675 (or 67665 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 69.

The spelling of 82899757248 in words is "eighty-two billion, eight hundred ninety-nine million, seven hundred fifty-seven thousand, two hundred forty-eight".